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21245633670 = 2356783347367
BaseRepresentation
bin10011110010010101…
…101010010010000110
32000211122102000102010
4103302111222102012
5322002340234140
613432103355050
71351325622642
oct236225522206
960748360363
1021245633670
119012674038
12414b152a86
132007788c91
1410578d3c22
158452bc880
hex4f256a486

21245633670 has 128 divisors (see below), whose sum is σ = 52668112896. Its totient is φ = 5482832256.

The previous prime is 21245633627. The next prime is 21245633671. The reversal of 21245633670 is 7633654212.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21245633671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57889827 + ... + 57890193.

It is an arithmetic number, because the mean of its divisors is an integer number (411469632).

Almost surely, 221245633670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21245633670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334056448).

21245633670 is an abundant number, since it is smaller than the sum of its proper divisors (31422479226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21245633670 is a wasteful number, since it uses less digits than its factorization.

21245633670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874.

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 21245633670 in words is "twenty-one billion, two hundred forty-five million, six hundred thirty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 67 83 134 166 201 249 335 347 367 402 415 498 670 694 734 830 1005 1041 1101 1245 1735 1835 2010 2082 2202 2490 3470 3670 5205 5505 5561 10410 11010 11122 16683 23249 24589 27805 28801 30461 33366 46498 49178 55610 57602 60922 69747 73767 83415 86403 91383 116245 122945 127349 139494 144005 147534 152305 166830 172806 182766 232490 245890 254698 288010 304610 348735 368835 382047 432015 456915 636745 697470 737670 764094 864030 913830 1273490 1910235 1929667 2040887 3820470 3859334 4081774 5789001 6122661 8532383 9648335 10204435 10569967 11578002 12245322 17064766 19296670 20408870 21139934 25597149 28945005 30613305 31709901 42661915 51194298 52849835 57890010 61226610 63419802 85323830 105699670 127985745 158549505 255971490 317099010 708187789 1416375578 2124563367 3540938945 4249126734 7081877890 10622816835 21245633670